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Carleman estimates and inverse problems for Dirac operators. (English) Zbl 1169.35063

Summary: We consider limiting Carleman weights for Dirac operators and prove corresponding Carleman estimates. In particular, we show that limiting Carleman weights for the Laplacian also serve as limiting weights for Dirac operators. As an application we consider the inverse problem of recovering a Lipschitz continuous magnetic field and electric potential from boundary measurements for the Pauli Dirac operator.

MSC:

35R30 Inverse problems for PDEs
35B45 A priori estimates in context of PDEs
47F05 General theory of partial differential operators
78A05 Geometric optics
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